chuckaluck_simulation, a MATLAB code which simulates the Chuck-a-Luck gambling game.
The player specifies a spot, between 1 and 6, and places a bet B. Three dice are rolled, and the player's return is:
- B if no spots show + B for 1 spot +2 B for 2 spots +10 B for 3 spots
The code allows the user to simulate many repeated rounds of the game, so that a statistical analysis can be made.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
chuckaluck_simulation is available in a MATLAB version and a Python version.
brownian_motion_simulation, a MATLAB code which simulates Brownian motion in an M-dimensional region.
coin_simulation, a MATLAB code which looks at ways of simulating or visualizing the results of many tosses of a fair or biased coin.
dice_simulation, a MATLAB code which simulates N games in which M dice are thrown and summed.
duel_simulation, a MATLAB code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
fair_dice_simulation, a MATLAB code which simulates N tosses of 2 dice, making a histogram of the results.
fire_simulation, a MATLAB code which simulates a forest fire over a rectangular array of trees, starting at a single random location.
gamblers_ruin_simulation, a MATLAB code which simulates the game of gambler's ruin.
high_card_simulation, a MATLAB code which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop.
ising_2d_simulation, a MATLAB code which carries out a Monte Carlo simulation of an Ising model, a 2D array of positive and negative charges, each of which is likely to "flip" to be in agreement with neighbors.
jai_alai_simulation, a MATLAB code which simulates matches of jai alai.
poisson_simulation, a MATLAB code which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.
random_walk_1d_simulation, a MATLAB code which simulates a random walk in a 1-dimensional region.
random_walk_2d_avoid_simulation, a MATLAB code which simulates a self-avoiding random walk in a 2-dimensional region.
random_walk_2d_simulation, a MATLAB code which simulates a random walk in a 2-dimensional region.
random_walk_3d_simulation, a MATLAB code which simulates a random walk in a 3-dimensional region.
reactor_simulation, a MATLAB code which a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This code was provided as an example with the book "Numerical Methods and Software."
roulette_simulation, a MATLAB code which simulates the spinning of a roulette wheel and the evaluation of certain common roulette bets.
sir_simulation, a MATLAB code which simulates the spread of a disease through a hospital room of M by N beds, using the SIR (Susceptible/Infected/Recovered) model.
traffic_simulation, a MATLAB code which simulates the cars waiting to get through a traffic light.
truel_simulation, a MATLAB code which simulates N repetitions of a duel between three players, each of whom has a known firing accuracy.
urn_simulation a MATLAB code which simulates an experiment in which k colored marbles are drawn from an urn containing a total of n marbles. The quantity of interest is the number of marbles of each color.